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The linear autonomous systems:(a) Have one equilibrium state(b) Their behavior determines the qualitative behavior of the s-plane(c) System behavior for small deviations about the equilibrium point may be different from the large deviation(d) Both a and bI have been asked this question in a national level competition.This is a very interesting question from Liapunov’s Stability Criterion topic in section Liapunov’s Stability Analysis of Control Systems

Answer»

The correct CHOICE is (d) Both a and b

Explanation: The LINEAR autonomous SYSTEMS having the differential terms with the linear relationship and have one equilibrium state and their behavior DETERMINES the QUALITATIVE behavior of the s-plane.



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